Search a number
-
+
55614496 = 257318009
BaseRepresentation
bin1101010000100…
…1110000100000
310212122111202011
43110021300200
5103214130441
65304002304
71243500250
oct324116040
9125574664
1055614496
1129435aa3
1216760394
13b6a2ab2
147559960
154d38581
hex3509c20

55614496 has 48 divisors (see below), whose sum is σ = 129185280. Its totient is φ = 23063040.

The previous prime is 55614473. The next prime is 55614509. The reversal of 55614496 is 69441655.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2940 + ... + 10948.

It is an arithmetic number, because the mean of its divisors is an integer number (2691360).

Almost surely, 255614496 is an apocalyptic number.

55614496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55614496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592640).

55614496 is an abundant number, since it is smaller than the sum of its proper divisors (73570784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55614496 is a wasteful number, since it uses less digits than its factorization.

55614496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 8049 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 55614496 is about 7457.5127220810. The cubic root of 55614496 is about 381.7063064245.

The spelling of 55614496 in words is "fifty-five million, six hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 8009 16018 32036 56063 64072 112126 128144 224252 248279 256288 448504 496558 897008 993116 1737953 1794016 1986232 3475906 3972464 6951812 7944928 13903624 27807248 55614496